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Conics Homework -- All the Points Equidistant from a Point and a Line

Module by: Kenny M. Felder. E-mail the author

Summary: This module provides practice problems to finding all the points equidistant from a point and a line.

On the drawing below is the point (0,3) and the line ( y = –3 y=–3). What I want you to do is to find all the points that are the same distance from (0,3) that they are from the line ( y = –3 y=–3).

One of the points is very obvious. You can get two more of them, exactly, with a bit of thought.

After that you have to start playing around. Feel free to use some sort of measuring device (such as your fingernail, or a pencil eraser). When you think you have the whole shape, call me and let me look.

A graph with a line at y=-3 and point at (0,3).

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